An influential parliamentary committee has accused Fifa of "an approach bordering on contempt", saying it was "appalled" at the serious corruption allegations recently levelled at world football's governing body.

The culture, media and sport select committee this year helped to set in train the confluence of Fifa corruption allegations that left its reputation at an all-time low when the former Football Association chairman Lord Triesman made a series of explosive claims before it.

Triesman told the committee that four key Fifa executives were guilty of corruption during England's 2018 World Cup bid.

"Although they have been challenged in other evidence, they are sufficiently serious for Fifa to commission a full, urgent and independent investigation, and for the outcome to be made public," said the report, to be published on Tuesday.

"Instead, Fifa has given every impression of wishing to sweep all allegations of misconduct under the carpet and of dismissing anyone bringing allegations to them with an approach bordering on contempt."

The report also says that the "extraordinary" decision to drop all investigations into claims against Jack Warner upon his resignation showed that nothing had changed. The MPs call on Fifa to conduct a "thorough review of its governance of bidding processes, incorporating independent input to address systemic reform as well as the conduct of individuals".

But it added that Sepp Blatter's record "does not inspire confidence this will occur". The Fifa president has announced he will convene an eclectic "council of wisdom" to rehabilitate its reputation, including Henry Kissinger, Johan Cruyff and the opera singer Plácido Domingo.

"The credibility of Fifa has been hugely damaged and it is now up to Mr Blatter to deliver on his promises made at the time of his re-election and to show that allegations of misconduct and corruption will no longer be swept under the carpet," said the chairman, John Whittingdale. "We urge the FA to continue to press for real change in Fifa and to work with other national associations to ensure that it happens."

But the report is also critical of the FA's bid for the 2018 World Cup. "Lessons did not appear to have been learned from previous studies with regard to the composition and unity of the bid team, and the messages it needed to project," it said. "More fundamentally, it appears that the groundwork for a successful bid had not been laid effectively with football's international bodies."

The bid was racked with internal disputes, particularly in its early stages, and ultimately garnered just one vote apart from that of the English representative, Geoff Thompson.

The committee calls for a full internal review of the £18m bid by the FA. The bid chief executive, Andy Anson, and other senior executives were not contacted in the wake of the bid's failure in an effort to find out what went wrong.

An FA spokesman said that while it acknowledged the "disappointment" felt by the public over the failed bid, it was concentrating on improving its international relations.

"Our focus is now on ensuring that the FA and all of English football work towards building stronger and more enduring international relationships," said the spokesman.

"We can confirm that the FA chairman, David Bernstein, has begun a process of evaluating our current representation on Fifa and Uefa committees, while determining how we can best strengthen our international relationships, both formally and informally."